Two-time correlators for propagating squeezed microwave fields in transients

Juan Atalaya, Mostafa Khezri, and Alexander N. Korotkov
Phys. Rev. A 99, 043810 – Published 10 April 2019

Abstract

We analyze two-time correlators as the most natural characteristic of a propagating quadrature-squeezed field in the transient regime. The considered system is a parametrically driven resonator with a time-dependent drive. Using a semiclassical approach derived from the input-output theory, we develop a technique for calculation of the two-time correlators, which are directly related to fluctuations of the measured integrated signal. While in the steady state the correlators are determined by three parameters (as for the phase-space ellipse describing a squeezed state), four parameters are necessary in the transient regime. The formalism can be generalized to weakly nonlinear resonators with additional coherent drive. We focus on squeezed microwave fields relevant to the measurement of superconducting qubits; however, our formalism is also applicable to optical systems. The results can be readily verified experimentally.

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  • Received 26 April 2018

DOI:https://doi.org/10.1103/PhysRevA.99.043810

©2019 American Physical Society

Physics Subject Headings (PhySH)

Atomic, Molecular & Optical

Authors & Affiliations

Juan Atalaya1,*, Mostafa Khezri1,2,†, and Alexander N. Korotkov1,‡

  • 1Department of Electrical and Computer Engineering, University of California, Riverside, California 92521, USA
  • 2Department of Physics, University of California, Riverside, California 92521, USA

  • *Present address: University of California, Berkeley, CA 94720, USA; jatalaya@berkeley.edu
  • Present address: University of Southern California, Los Angeles, CA 90089, USA.
  • Present address: Google Inc., 340 Main Street, Venice, CA 90291, USA.

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Issue

Vol. 99, Iss. 4 — April 2019

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